Have been given a challenge question to try and work out for this week, I have gotten part way through it but Im not really sure how to proceed from where I am...

So if I denote P() as a probability,Questions reads: "Let X be an exponential random variable with rate parameter λ (lambda) > 0. Suppose it is known that X >k where k is a positive constant. Given (conditional on) this, what is the probability that X > k + x? Consequently, what is the distribution of X given X > k?"

P(X > k+x) = 1 - P(X < k+x)

= 1 - F(k+x) where this is the CDF of X...

Not sure if I'm on the right track so any help would be much appreciated, Thanks!